3 papers
math.RT2026
A Comparison of cluster algebra structures arising from -boxes and Demazure weaves
JiSun Huh, Woo-Seok Jung, Myungho Kim +1
We compare two cluster algebras related to a positive element in the braid group of finite type. One is the localized bosonic extension ${\widetilde{\mathbb{A}}}…
math.CO2025
Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
A Littlewood identity is an identity equating a sum of Schur functions with an infinite product. A bounded Littlewood identity is one where the sum is taken over the partitions wit…
math.CO2025
Refinement of Hikita's -positivity theorem via Abreu--Nigro's -functions and restricted modular law
JiSun Huh, Byung-Hak Hwang, Donghyun Kim +2
We study the symmetric functions \( g_{\mm,k}(x;q) \), introduced by Abreu and Nigro for a Hessenberg function \( \mm \) and a positive integer \( k \), which refine the chromatic…